An optimal reconstruction of Chebyshev-Halley type methods for nonlinear equations having multiple zeros
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Publication:2423581
DOI10.1016/j.cam.2018.12.039zbMath1415.65113OpenAlexW2909933537MaRDI QIDQ2423581
Ali Saleh Alshomrani, Ramandeep Behl, Vinay Kanwar
Publication date: 20 June 2019
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2018.12.039
Numerical computation of solutions to systems of equations (65H10) Numerical computation of solutions to single equations (65H05)
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Cites Work
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- An improvement of Chebyshev-Halley methods free from second derivative
- Improved Chebyshev-Halley methods with sixth and eighth order convergence
- A stable class of improved second-derivative free Chebyshev-Halley type methods with optimal eighth order convergence
- On a numerical technique for finding multiple zeros and its dynamic
- On optimal fourth-order iterative methods free from second derivative and their dynamics
- Three-point methods with and without memory for solving nonlinear equations
- Basin attractors for various methods for multiple roots
- Finding the solution of nonlinear equations by a class of optimal methods
- Constructing higher-order methods for obtaining the multiple roots of nonlinear equations
- On Halley-type iterations with free second derivative
- Construction of optimal order nonlinear solvers using inverse interpolation
- Higher-order efficient class of Chebyshev-Halley type methods
- A class of two-point sixth-order multiple-zero finders of modified double-Newton type and their dynamics
- Constructing a family of optimal eighth-order modified Newton-type multiple-zero finders along with the dynamics behind their purely imaginary extraneous fixed points
- Modified Chebyshev-Halley type method and its variants for computing multiple roots
- Modified Chebyshev's method free from second derivative for non-linear equations
- New third order nonlinear solvers for multiple roots
- New families of nonlinear third-order solvers for finding multiple roots
- Some fourth-order nonlinear solvers with closed formulae for multiple roots
- Some variants of Chebyshev-halley methods free from second derivative
- Some second-derivative-free variants of Chebyshev-halley methods
- A third-order modification of Newton's method for multiple roots
- Optimal iterative methods for finding multiple roots of nonlinear equations using free parameters
- An optimal scheme for multiple roots of nonlinear equations with eighth-order convergence
- On developing fourth-order optimal families of methods for multiple roots and their dynamics
- A sixth-order family of three-point modified Newton-like multiple-root finders and the dynamics behind their extraneous fixed points
- An eighth-order family of optimal multiple root finders and its dynamics
- Application of interval Newton's method to chemical engineering problems
- Determination of multiple roots of nonlinear equations and applications
- Modified Chebyshev-Halley methods with sixth-order convergence
- Modified Chebyshev-Halley methods free from second derivative
- A modified Chebyshev's iterative method with at least sixth order of convergence
- On Chebyshev-Halley methods with sixth-order convergence for solving non-linear equations
- Variants of Newton's method using fifth-order quadrature formulas
- Some modification of Newton's method by the method of undetermined coefficients
- On the semilocal convergence of efficient Chebyshev-secant-type methods
- Simple geometric constructions of quadratically and cubically convergent iterative functions to solve nonlinear equations
- High-order nonlinear solver for multiple roots
- A composite third order Newton-Steffensen method for solving nonlinear equations
- Extension of Murakami's high-order non-linear solver to multiple roots
- A new family of higher order methods for solving equations
- Numerical solution of constrained non-linear algebraic equations
- On a family of multipoint methods for non-linear equations
- A higher order method for multiple zeros of nonlinear functions
- A sixth-order family of methods for nonlinear equations
- A family of Chebyshev-Halley type methods in Banach spaces
- A family of Three-point Methods of Eighth-order for Finding Multiple Roots of Nonlinear Equations
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